Question

( x2 + xy - y2 ) ( x - y )

Answer 1

Объяснение:

$x ^{2} \times (x - y) + x y \times (x - y) - y^{2} \times (x - y)$

$x^{3} - x^{2} y + x^{2} y - xy^{2} - xy^{2} + y^{3}$

$x^{3} - xy ^{2} - xy^{2} + {y}^{3}$

${x}^{3} - 2x {y}^{2} + {y}^{3}$

Answer 2

To simplify the expression (x^2 + xy - y^2) * (x - y), we can use the distributive property of multiplication over addition/subtraction. Let's break it down step by step:

(x^2 + xy - y^2) * (x - y)

Using the distributive property, we can multiply each term in the first expression by (x - y):

x^2 * (x - y) + xy * (x - y) - y^2 * (x - y)

Now, let's simplify each term:

x^3 - x^2y + xy^2 - x^2y + xy^2 - y^3

Combining like terms:

x^3 - 2x^2y + 2xy^2 - y^3

So, the simplified form of (x^2 + xy - y^2) * (x - y) is x^3 - 2x^2y + 2xy^2 - y^3.